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Approximating the Area Under a Curve

Approximating the Area Under a Curve
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2018-11-15 16:12
FunctionCoordinate GeometryIntegral
This GeoGebra dynamic worksheet approximates the area under a curve by considering the upper and lower rectangle sums. It demonstrates the concept of definite integral and involves geometric shapes like triangles and rectangles. It uses commands like Textfield, LowerSum, UpperSum, Integral, etc., suitable for high school mathematics education.

GeoGebra Commands & Parameters

  1. Textfield(f) → inputBox1
  2. LowerSum(f, Lowerlimit, Upperlimit, NoofRectangles) → Lowersum
  3. UpperSum(f, Lowerlimit, Upperlimit, NoofRectangles) → Uppersum
  4. Integral(f, Lowerlimit, Upperlimit) → Area
  5. LaTeX(Area, true, true) → text1
  6. LaTeX(Lowersum, true, true) → text2
  7. LaTeX(Uppersum, true, true) → text3
  8. Name(Lowerlimit) → A1_1
  9. Name(Lowerlimit) → A1
  10. Name(Upperlimit) → B1_1
  11. Name(Upperlimit) → B1